find the surface area of this figure

Step-by-step explanation:

Probabilities

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is Ω = {WW, W N, NW, N N}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are A = {W N, NW}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus, the probability of picking a white counter is 5/11.

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now 6/10.

Thus, the option WN has the probability P(WN) = 5/11 x 6/10 = 30/110 = 3/11

Now for the second option NW. The initial probability to pick a non-white counter is 6/11.

The probability to pick a white counter is 5/10

Thus, the option NW has the probability P(WN) = 6/11 x 5/10 = 30/110 = 3/11

P(A) = 3/11 + 3/11 = 6/11.

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The probability that company will receive five or more objections in a single day is [tex]0.9951[/tex].

Probability is simply the possibility that something will happen. We may talk about the possibility with one result, or the probability of numerous outcomes, if we don't understand how such an occurrence will turn out. Statistical is the study of events that follow a probabilistic model.

Probability is typically considered as one of the most difficult mathematical concepts because probabilistic arguments can occasionally give results that seem inconsistent or nonsensical. The Monty Hill paradox and the anniversary problem are two examples.

Let [tex]X[/tex] be the random variable denoting the number of complaints received in a day. We need to find P(X ≥ 5).

Using the Poisson probability mass function,

P(X ≥ 5) = 1 - P(X < 5)

[tex]= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)[/tex]

[tex]= 1 - e^{(-7)(1 + 7 + 24.5 + 57.33 + 100.18)}[/tex]

[tex]= 1 - 0.0049[/tex]

[tex]= 0.9951[/tex]

Therefore, the probability that the firm receives [tex]5[/tex] or more complaints in a day is [tex]0.9951[/tex].

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The polynomial 7x² - 4 + 6x³ - 4x - x⁴ in standard form is - x⁴ + 6x³ + 7x² - 4x - 4  

Given that

7x² - 4 + 6x³ - 4x - x⁴

The standard form of a polynomial is when the terms are arranged in decreasing order of degree

To rewrite 7x² - 4 + 6x³ - 4x - x⁴ in standard form, we need to rearrange the terms accordingly:

- x⁴ + 6x³ + 7x² - 4x - 4  

Now the terms are in decreasing order of degree, with the highest degree term first

This is the standard form of the polynomial.

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The given diagram represents a right circular cylinder with a base equation of (x - 0)² + (y - 0)² = 7², resulting in an ellipse with an equation of (x - 0)²/4² + (y - 0)²/5² = 1.

The given diagram represents a right circular cylinder with a height of 10 meters and a radius of 7 meters, which means the base of the cylinder is a circle with a radius of 7 meters. The equation of the circle is (x - 0)² + (y - 0)² = 7², where (0, 0) is the center of the circle.

The cylinder has been sliced by a plane that is parallel to the base and 4 meters from the center of the cylinder. This means the distance between the center of the cylinder and the plane is 4 meters.

Mathematically, the equation of the ellipse can be written as (x - 0)²/4² + (y - 0)²/5² = 1, where the center of the ellipse is (0, 0), and the semi-major axis is 5 meters and the semi-minor axis is 4 meters.

So, the given diagram described as a right circular cylinder with a base equation of (x - 0)² + (y - 0)² = 7², sliced by a plane parallel to the base and 4 meters from the center of the cylinder, resulting in an ellipse with an equation of (x - 0)²/4² + (y - 0)²/5² = 1.

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We can deduce that X + 4 = 8 by looking at the top row & second column. The X value is therefore 4.

an arrangement of written or printed items on a page that are vertical. a vertical part of a printed page divided into two or more equal columns of numbers.

X + 4 corresponds to a value in the second column and top row.

The third row's value is equal to the first column's value plus two.

(Third row, second column) The value is 12 at the bottom right corner.

First row and the first column, top left, represents value as B.

It reads 8, first row, second column, in the upper right corner.

C is the value located on the bottom left (third row, first column).

We can deduce that X + 4 equals 8 from top row & second column. Hence, we can find X:

X plus 4 = 8

When we take 4 away from both sides, you get:

X = 4

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Fatouma lifted 1 kg during the first week and 120 kg during the tenth week. Fatouma lifted 120 kg in 10 weeks, increasing by 2 kg each week.

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0

Say the mass Fatouma lifted during the first week "x". According to the problem, she increases the weight she lifts by 2 kg every week. So, the mass of second week is "x + 2" kg, during the third week is "x + 4" kg, and so on.

Since there are 10 weeks of training, the mass she lifted during the 10th week is:

x + (10 - 1) × 2 = x + 18

We also know that during the 10th week, she lifted 120 kg. So, we can set up an equation:

x + 18 = 120

Solving for x, we get:

x = 102

Thus, Fatouma lifted 102 kg during the first week of training.

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Answer:

3,984.375 tons

Step-by-step explanation:

First, let's convert the weight of one box from ounces to tons:

0.51 oz = 0.51/16 = 0.031875 lbs

1 lb = 0.0005 tons (since 1 ton = 2000 lbs)

0.031875 lbs = 0.031875 x 0.0005 = 0.0000159375 tons

Next, let's calculate the total weight of cardboard needed for 250 million boxes:

Total weight of cardboard = weight of one box x number of boxes

Total weight of cardboard = 0.0000159375 tons x 250,000,000

Total weight of cardboard = 3,984.375 tons

Answer:

average rate of change on [-1,3] = 11

Step-by-step explanation:

avg rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

[tex]\frac{f(3)-f(-1)}{3-(-1)}[/tex]

1. find your y-values.

we are given the x values from the interval [-1,3]. Plug each into the equation to get the y-value of the coordinates.

[tex]f(-1)=4(-1)^2+3(-1)-4\\f(-1)=4(1)-3-4\\f(-1)=-3\\[/tex]

coordinate: (–1,3)

[tex]f(3)=4(3)^2+3(3)-4\\f(3)=4(9)+9-4\\f(3)=36+9-4\\f(3)=41[/tex]

coordinate: (3, 41)

2. plug into the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{41-(-3)}{3-(-1)} \\m=\frac{41+3}{4} \\m=\frac{44}{4} \\m=11[/tex]

Answer:

  60.3°

Step-by-step explanation:

You want the measure of angle B in right triangle ABC with leg BC = 8 and leg AC = 14.

The tangent relation is ...

  Tan = Opposite/Adjacent

Applying this to the given triangle, we have ...

  tan(B) = 14/8

The arctangent function gives you the angle from the tangent.

  B = arctan(14/8) ≈ 60.3°

The measure of angle B is about 60.3°.

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Answer:

2/3 is the answer .......mmm..

A burrito costs $2 at Taco Hut. Let's use "b" to represent the cost of a burrito and "t" to represent the cost of a taco.

From the problem, we know that:

4b + 5t = 13 (for Clark)

5b + 3t = 13 (for Bruce)

We want to determine the cost of a burrito, so we can solve for "b" using the second equation:

[tex]5b + 3t = 13\\5b = 13 - 3\\b = (13 - 3t)/5[/tex]

Now we can substitute this expression for "b" into the first equation:

[tex]4b + 5t = 13\\4[(13 - 3t)/5] + 5t = 13\\52/5 - 12t/5 + 5t = 13\\52 - 12t + 25t = 65\\13t = 13\\t = 1[/tex]

So we know that a taco costs $1. Now we can substitute this value into either of the original equations to solve for "b":

[tex]5b + 3t = 13\\5b + 3(1) = 13\\5b = 10\\b = 2[/tex]

Therefore, a burrito costs $2 at Taco Hut.

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Answer:

z=8

Step-by-step explanation:

Considering the triangle on the RHS,

Let the Unknown side be "x"

from pythagora's theorem,

x ^ 2 = 4 ^ 2 - 2 ^ 2 x = √(4 ^ 2 - 2 ^ 2)

x = √(16 - 4)

x = √12

cos alpha = 2/4 , alpha = arccos(2/4)

alpha = 60°

< ABC + theta + alpha = 180°

theta = 180 - alpha - <ABC

theta = 180 - 60 - 90

theta = 30°

Now Considering the triangle on the LHS,

tan 30 = (√12)/y

y = (√12)/(tan 30°)

y = 6

z = y + 2

z = 8

Answer:

Step-by-step explanation:

holy mocacrise

The true statements for the graph of y=(x+2)²2+4 are:, The vertex of the parabola is at the point (-2, 4)., The graph opens upwards, since the coefficient of the squared term is positive., The y-intercept of the graph is at the point (0, 9)., The x-coordinate of the vertex is -2, which is also the axis of symmetry of the parabola., The graph is a parabola, which is a U-shaped curve.

What is graph?

In mathematics, a graph is a visual representation of a set of points, called vertices or nodes, that are connected by lines or curves, called edges. Graphs are used to model relationships between objects or to represent data in a visual way.

In the context of coordinate geometry, a graph is a visual representation of a function or relation, which shows the relationship between the input values (x-axis) and output values (y-axis). The graph is typically a set of points plotted on a Cartesian plane, where each point represents a unique input-output pair.

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Complete Question:

Select the statements that are true for the graph of y = (x+2)²2 + 4.

a) The vertex of the parabola is (-2, 4).

b) The parabola opens upward.

c) The y-intercept of the parabola is 4.

d) The x-intercepts of the parabola are (-4, 0) and (0, 0).

e) The axis of symmetry of the parabola is a vertical line through x = -2.

The wallpaper cost $40 to John.

To find the amount of wallpaper John purchased, we have to solve for x in the cost function equation.

First, let's write down the cost function c(x) using the given information.Cost function equationc(x) = 12x + 20.

Here, x is the amount of wallpaper needed in square meters, and c(x) is the total cost John has to pay, including the cost of wallpaper and delivery.

Now, let's use the given total cost of $500 and solve for x.c(x) = 12x + 20Since the total cost John paid is $500, we can write the following equation:12x + 20 = 500

To solve for x, we can isolate x on one side by subtracting 20 from both sides.12x = 480x = 40Therefore, John purchased 40 square meters of wallpaper.

Answer: 40

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Answer:

19. sqrt{305}

20. 3*sqrt{7}

Step-by-step explanation:

You use the Pythagorean theorem, which can be applied to right triangles. It states that x^2+y^2 = hypotenuse ^2, where x and y are the two sides other than the hypotenuse.

Step-by-step explanation:

hope this will gel help u

Answer:

C

Step-by-step explanation:

A (- 6, - 8 ) and C (9, - 8 )

since the y- coordinates of both points are equal, both - 8

then AC is a horizontal line

the distance AC can be calculated by calculating the absolute value of the x- coordinates, that is

AC = | 9 - (- 6) | = | 9 + 6 | = | 15 | = 15 units

or

AC = | - 6 - 9 | = | - 15 | = | 15 | = 15 units

given 1 unit = [tex]\frac{1}{2}[/tex] mile , then

AC = 15 units = 15 × [tex]\frac{1}{2}[/tex] = 7.5 miles

The common difference of the arithmetic sequence -6, 10, 26, 42 is given as follows:

16.

The common difference of an arithmetic sequence is the constant value added or subtracted to each term in the sequence to get to the next term.

The sequence for this problem is given as follows:

-6, 10, 26, 42, . . .

The difference between consecutive terms is given as follows:

42 - 26 = 16, which is constant for the other terms of the sequence.

Hence 16 is the common difference of the arithmetic sequence -6, 10, 26, 42, . . . given in this problem.

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four is the minimal because you want to draw all four to the four of a kind

One way to do this is to subtract 1.8x from both sides of the equation, which gives:

x - 1.8x = 32

Simplifying the left-hand side, we get:

-0.8x = 32

To solve for x, we can divide both sides of the equation by -0.8:

x = 32 / (-0.8)

Simplifying, we get:

x = -40

The propensity scoring method is a statistical technique used to adjust for differences in the characteristics of groups being compared in a study. In this case, we want to adjust for the fact that respondents aged 70 or older are underrepresented in an internet sample.

To do this, we can assign a propensity score to each individual in the sample based on their likelihood of being in the sample, given their age. We can then use this score to weight their responses to account for the underrepresentation of older individuals.

In this case, we know that respondents aged 70 or older are only one-third as likely to be in an internet sample as their actual incidence in the population. This means that we can assign a propensity score of 3 to each individual aged 70 or older in the sample, and a propensity score of 1 to everyone else.

Using these propensity scores, we can weight the responses of each individual in the sample. Responses from individuals with a propensity score of 3 would be weighted by a factor of 3, while responses from individuals with a propensity score of 1 would be weighted by a factor of 1.

By adjusting for the underrepresentation of older individuals in this way, we can obtain more accurate estimates of the characteristics of the population being studied, and reduce the potential for bias in our analysis.

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Answer: m = 6/5

Step-by-step explanation:

Answer: m=6/5

Step-by-step explanation:

The x² statistic for the goodness-of-fit test is approximately 104.15.

EXPLANATION:

In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.

The steps involved are:

Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size

.Use the formula:

χ² = Σ [(observed value - expected value)² / expected value]

Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.

Problem

Let p = probability that a flight leaves on time = 0.8

n = sample size = 200

Then, q = 1 - p = 0.2

The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.

So, we can write:

B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x

Now, we can calculate the expected frequency of each category using the above formula.

χ² = Σ [(observed value - expected value)² / expected value]

The observed value is the actual number of on-time departures. But, we don't have this information.

We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.

The expected frequency is obtained using the formula mentioned above.

χ² = Σ [(observed value - expected value)² / expected value]

Let's calculate the expected frequency of each category.

Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).

Hence, the expected frequency of each category is:0 on-time departures:

Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:

Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:

Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25

Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:

χ² = Σ [(observed value - expected value)² / expected value]

χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)

χ² = 104.15 (approx)

Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.

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Answer:

The volume is 1474.45 mm^2

Step-by-step explanation:

First, you have to find the radius. To do this, you divide the diameter by 2. This means that the radius is 8.

Then you use the formula V=3.14*r^2*(h/3)

V=3.14*8^2*(22/3)=1474.45 mm^2

The difference between cardinality and join type is that cardinality describes the relationship between two data tables, while join type is the specific method used to combine the two tables.

Cardinality defines the maximum number of records that can exist in one table for a relationship with another table. Cardinality can be either one-to-one, one-to-many, or many-to-many.

A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. For example, a customer can have multiple orders. In this situation, a one-to-one join type is often used because it is the most efficient way to retrieve the related data. This is because one-to-one join type only requires that one record be searched, while a one-to-many join type would require that multiple records be searched in order to find the related records. Additionally, a one-to-one join type ensures that no duplicate records will be returned in the result.

In summary, cardinality describes the relationship between two tables while join type is the specific method used to combine the two tables. A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. To efficiently retrieve the related data, a one-to-one join type is often used. This is because it only requires that one record be searched and it ensures that no duplicate records will be returned in the result.

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Answer:

When calculating the area of a triangle, you multiply the base by the height and then divide the result by 2. This is because a triangle is half of a parallelogram or a rectangle, and these shapes have an area equal to base times height. By dividing by 2, you are finding half of the area of the parallelogram or rectangle.

For a trapezoid, you can find the area by taking the average of the bases and multiplying it by the height. So the formula for the area of a trapezoid is A = (b1 + b2)h/2, where b1 and b2 are the lengths of the two parallel bases and h is the height. There is no need to divide the result by 2 because the formula already takes the average of the bases into account.

Answer:

Step-by-step explanation:

nothing makes it true

The value 3.915 represents the y-intercept or the initial or baseline water lily population when there are no changes in the independent variable (x). the coefficient 1.106 represents the slope of the regression line or the rate of change in the dependent variable (y).

In the regression equation y = 3.915(1.106)x, the coefficient 3.915 represents the y-intercept or the value of y when x is 0. In the context of the water lily population change, this means that when there are no changes in the independent variable (x), the predicted value of the dependent variable (y) is 3.915, which represents the initial or baseline water lily population.

The coefficient 1.106 represents  rate of change in the dependent variable (y) per unit change in the independent variable (x) or the  the slope of regression line . In the context of the water lily population change, this means that for every unit increase in the independent variable (which could be time, environmental factors, or any other relevant variable), the predicted value of the dependent variable (y) increases by a factor of 1.106. In other words, the water lily population is expected to grow by 1.106 times for every unit increase in the relevant variable.

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____The given question is incomplete, the complete question is given below:

The regression equation you found for the water lilies is y = 3.915(1.106)x.

In terms of the water lily population change, the value 3.915 represents:

The value 1.106 represents:

Answer:

The value of 3.915 is the initial number

of water lilies. It is approximately 4, which matches

the data.

The value 1.106 is the growth rate. The rate represents growth for each day. The percentage growth each day is 10.6%

Step-by-step explanation:

When the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

The volume of a right circular cone is given by the formula V = (1/3)*πr²h, where r is the radius and h is the height. Thus, when the radius is increasing at a rate of 1.6 in/s and the height is decreasing at a rate of 2.5 in/s, the rate of change of the volume (dV/dt) is given by:

dV/dt = (1/3)*π(1.6r + 2.5h)

Substituting r = 136 in. and h = 110 in., we get

dV/dt = (1/3)*π(216 + 275) = 109.76 in³/s

Therefore, when the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

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The dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

The perimeter of the bottom of a rectangular swimming pool is 60 meters, and the area is 221 square meters.

To find the dimensions of the pool, we can use the formula P = 2(l + w) where P is the perimeter and l and w are the length and width of the pool respectively. We can rearrange this formula to solve for either l or w, so we'll solve for l.

2(l + w) = 60
2l + 2w = 60
2l = 60 - 2w
l = (60 - 2w)/2

Now, we can use the formula A = l*w to solve for w.

221 = l*w
221 = (60 - 2w)/2 * w
221 = (60w - 2w^2)/2
442 = 60w - 2w^2
2w^2 - 60w + 442 = 0

Using the quadratic formula, we get w = 16.45 or 7.55.

Now that we know the width, we can use the formula l = (60 - 2w)/2 to find the length. For w = 16.45, l = 21.55, and for w = 7.55, l = 28.45.

Therefore, the dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

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